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Finding the Fourth Proportional to 5,297.72, 7,946.91 and 1,788.08

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Solution

The fourth proportional to 5,297.72, 7,946.91 and 1,788.08 is: 2,682.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.72 : 7,946.91 = 1,788.08 : x
  2. Step 2: Convert to fraction form
    5,297.72/7,946.91 = 1,788.08/x
  3. Step 3: Cross multiply
    5,297.72x = 7,946.91 × 1,788.08
  4. Step 4: Simplify right side
    5,297.72x = 14,209,671.10
  5. Step 5: Solve for x
    x = 14,209,671.10/5,297.72
  6. Step 6: Final answer
    x = 2,682.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.